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Finding the Third Proportional to 259,673.06 and 388,472.06

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Solution

The third proportional to 259,673.06 and 388,472.06 is: 581,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,673.06 : 388,472.06 = 388,472.06 : x
  2. Step 2: Convert to fraction form
    259,673.06/388,472.06 = 388,472.06/x
  3. Step 3: Cross multiply
    259,673.06x = 388,472.06 × 388,472.06
  4. Step 4: Simplify right side
    259,673.06x = 150,910,543,343.00
  5. Step 5: Solve for x
    x = 150,910,543,343.00/259,673.06
  6. Step 6: Final answer
    x = 581,155.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.